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International Journal of Neutrosophic Science

Volume 26 , Issue 3 , PP: 49-57, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Fuzzy Bounded Linear Operators on Fuzzy Anti-Normed Spaces

Jaafer Hmood Eidi 1 * , Aamena Al-Qabani 2 , Fadhel S. Fadhel 3 , Jehad R. Kider 4

  • 1 Mustansiriyah University, College of Education, Mathematics Department, Baghdad, Iraq - (drjaffarmath@uomustansiriyah.edu.iq)
  • 2 Department of Mathematics and Computer Applications, College of Sciences, Al-Nahrain University, Jadriya, Baghdad, Iraq - (aamena.raimmohammed@nahrainuniv.edu.iq)
  • 3 Department of Mathematics and Computer Applications, College of Sciences, Al-Nahrain University, Jadriya, Baghdad, Iraq - (fadhel.subhi@nahrainuniv.edu.iq)
  • 4 Department of Applied Sciences, University of Technology, Baghdad, Iraq - (jehad.r.kider@uotechnology.edu.iq)

    • Doi: https://doi.org/10.54216/IJNS.260304

    Received: January 11, 2025 Revised: February 07, 2025 Accepted: March 16, 2025
    Abstract

    The primary goal of this paper is to study and introduce fuzzy anti-normed linear spaces, as well as, some additional properties concerning these spaces. From this point of view, some theoretical results are obtained; for example, it was proved that the space of all linear and fuzzy bounded operators over fuzzy anti-normed linear spaces is fuzzy complete. Moreover, some additional theoretical results are stated and proved.

    Keywords :

    Fuzzy bounded operator , Fuzzy anti-normed linear space , Fuzzy anti-norm for bounded operator , Fuzzy anti-metric spaces

    References

    [1]       C. Felbin, "Finite dimensional fuzzy normed linear space," Fuzzy Sets and Systems, vol. 48, no. 2, pp. 239–248, 1992.​

    [2]       S. C. Cheng and J. N. Mordeson, "Fuzzy linear operators and fuzzy normed linear spaces," in Proc. 1st Int. Conf. Fuzzy Theory and Technology, 1992, pp. 193–197.​

    [3]       S. Sedghi and N. Shobe, "Fixed point theorem in M-fuzzy metric spaces with property (E)," Advances in Fuzzy Mathematics, vol. 1, no. 1, pp. 55–65, 2006.​

    [4]       T. Bag and S. K. Samanta, "Fuzzy bounded linear operators in Felbin's type fuzzy normed linear spaces," Fuzzy Sets and Systems, vol. 159, no. 6, pp. 685–707, 2008.​

    [5]       R. M. Somasundaram and T. Beaula, "Some aspects of 2-fuzzy 2-normed linear spaces," Bull. Malaysian Math. Sci. Soc., vol. 32, no. 2, pp. 211–221, 2009.​

    [6]       M. Janfada, H. Baghani, and O. Baghani, "On Felbin’s-type fuzzy normed linear spaces and fuzzy bounded operators," Iranian Journal of Fuzzy Systems, vol. 8, no. 5, pp. 117–130, 2011.​

    [7]       B. S. Reddy, "Fuzzy anti-2-normed linear space," Journal of Mathematics Research, vol. 3, no. 2, pp. 137–144, 2011.​

    [8]       I. H. Jebril and T. K. Samanta, "Fuzzy anti-normed linear space," Journal of Mathematics and Technology, vol. 26, pp. 338–353, 2010.​

    [9]       B. Dinda, T. K. Samanta, and I. H. Jebril, "Fuzzy anti-norm and fuzzy α-anti-convergence," Demonstratio Mathematica, vol. 45, no. 4, pp. 739–754, 2012.​

    [10]    T. Beaula and B. Maiya, "On fuzzy ward continuity in 2-fuzzy 2-anti normed linear space," International Journal of Engineering, Science and Mathematics, vol. 7, no. 4, pp. 634–639, 2018.​

    [11]    L. D. Kočinac, "Some topological properties of fuzzy anti-normed linear spaces," Journal of Mathematics, vol. 2018, 2018.​

    [12]    P. Sinha, "Fuzzy anti inner product space," International Journal of Applied Engineering Research, vol. 14, no. 19, pp. 3756–3762, 2019.​

    [13]    R. I. Ali and E. A. Hussein, "Some properties of fuzzy anti-inner product spaces," Iraqi Journal of Science, vol. 61, no. 11, pp. 3053–3058, 2020.​

    [14]    G. Rano and T. Bag, "Fuzzy normed linear spaces," International Journal of Mathematics and Scientific Computing, vol. 2, no. 2, pp. 16–19, 2012.​

    [15]    T. Bag and S. K. Samanta, "Finite dimensional fuzzy normed linear spaces," Annals of Fuzzy Mathematics and Informatics, vol. 6, no. 2, pp. 271–283, 2013.​

    [16]    S. Nadaban, "Fuzzy continuous mappings in fuzzy normed linear spaces," International Journal of Computers Communications & Control, vol. 10, no. 6, pp. 74–82, 2015.​

    [17]    F. S. Fadhel, J. H. Eidi, and H. M. Wali, "Contraction mapping theorem in partial fuzzy metric spaces," Journal of Applied Science and Engineering, vol. 25, no. 2, pp. 353–360, 2021.​

    [18]    S. Romaguera and P. Tirado, "Characterizing complete fuzzy metric spaces via fixed point results," Mathematics, vol. 8, no. 2, p. 273, 2020.​

    [19]    I. K. Hanan, F. Al-Taie, F. S. Fadhel, and A. Al-Sabbagh, "Stabilization of fuzzy prey-predator model using backstepping method," Malaysian Journal of Fundamental and Applied Sciences, vol. 20, no. 1, pp. 100–112, 2024.​

    [20]    H. Y. Daher and J. R. Kider, "Some properties of convex fuzzy normed space," International Journal of Mathematics and Computer Science, vol. 19, no. 2, pp. 345–355, 2024.​

    [21]    S. Romaguera and P. Tirado, "On completeness and fixed point theorems in fuzzy metric spaces," Mathematics, vol. 12, no. 2, p. 287, 2024.

    [22]    S. Romaguera and P. Tirado, "Characterizing complete fuzzy metric spaces via fixed point results," Mathematics, vol. 8, no. 2, p. 273, 2020.

    Cite This Article As :
    Hmood, Jaafer. , Al-Qabani, Aamena. , S., Fadhel. , R., Jehad. Fuzzy Bounded Linear Operators on Fuzzy Anti-Normed Spaces. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 49-57. DOI: https://doi.org/10.54216/IJNS.260304
    Hmood, J. Al-Qabani, A. S., F. R., J. (2025). Fuzzy Bounded Linear Operators on Fuzzy Anti-Normed Spaces. International Journal of Neutrosophic Science, (), 49-57. DOI: https://doi.org/10.54216/IJNS.260304
    Hmood, Jaafer. Al-Qabani, Aamena. S., Fadhel. R., Jehad. Fuzzy Bounded Linear Operators on Fuzzy Anti-Normed Spaces. International Journal of Neutrosophic Science , no. (2025): 49-57. DOI: https://doi.org/10.54216/IJNS.260304
    Hmood, J. , Al-Qabani, A. , S., F. , R., J. (2025) . Fuzzy Bounded Linear Operators on Fuzzy Anti-Normed Spaces. International Journal of Neutrosophic Science , () , 49-57 . DOI: https://doi.org/10.54216/IJNS.260304
    Hmood J. , Al-Qabani A. , S. F. , R. J. [2025]. Fuzzy Bounded Linear Operators on Fuzzy Anti-Normed Spaces. International Journal of Neutrosophic Science. (): 49-57. DOI: https://doi.org/10.54216/IJNS.260304
    Hmood, J. Al-Qabani, A. S., F. R., J. "Fuzzy Bounded Linear Operators on Fuzzy Anti-Normed Spaces," International Journal of Neutrosophic Science, vol. , no. , pp. 49-57, 2025. DOI: https://doi.org/10.54216/IJNS.260304

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